Question

What is the midpoint of the segment shown below? (3,5) (2, 2) - 10 10 O A. (5,7) O B. (2) O C. (5,3) OD. (5,7)

Answer 1

If we have a segment, we can find the coordinates of the midpoint by averaging the coordinates of the endpoints.

If the endpoints of the segment are (3,5) and (2,2), the coordinates of the midpoint will be:

`\begin{gathered} x_m=(x_1+x_2)/(2)=(3+2)/(2)=(5)/(2) \\ y_m=(y_1+y_2)/(2)=(5+2)/(2)=(7)/(2) \end{gathered}`

Then, the midpoint has coordinates (5/2, 7/2).

Answer: (5/2, 7/2) [Option B]